At how many points does the graph of the function below intersect the x-axis?
y=2x2-3x+1
O A. 2
OB. O
O C. 1

Option A: The graph of the function intersect the x - axis at 2 points

Explanation:

Given that the function is

We need to determine the number of points that the graph of the function intersect the x - axis.

This can be determined by substituting in the function

Thus, we have,

Factoring the expression, we have,

Let us group the terms.

Factoring out the common term (x - 1), we have,

Equating each term to zero, we have,

and

      and        

Thus, the graph of the function intersect the x - axis at 2 points.

Hence, Option A is the correct answer.

30005

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